Regular solvability of the first initial-boundary value problem for the quasihydrodynamic system of equations in the shallow water approximation
https://doi.org/10.25587/2411-9326-2025-1-111-112
Abstract
In this paper we consider the solvability of the analog of the first initial boundary value problem for the quasihydrodynamic system of equations in the shallow water approximation. Under certain conditions on the data, it is shown that there exists a single regular solution of the problem locally in time.
About the Author
F. A. Evseev
Yugra State University; V. I. Shpilman research and analytical centre for the rational use of the subsoil
Russian Federation
Russian Federation
Fedor A. Evseev
16 Chekhov St., Khanty-Mansiysk 628012;
2 Studencheskaya St., Khanty-Mansiysk 628007
References
1. Четверушкин Б. Н. Кинетически согласованные схемы в газовой динамике. М.: Изд-во Моск. ун-та, 1999.
2. Шеретов Ю. В. Динамика сплошных сред при пространственно-временном осреднении. М.; Ижевск: Регулярная и хаотическая динамика, 2009.
Review
For citations:
Evseev F.A. Regular solvability of the first initial-boundary value problem for the quasihydrodynamic system of equations in the shallow water approximation. Mathematical notes of NEFU. 2025;32(1):111-112. (In Russ.) https://doi.org/10.25587/2411-9326-2025-1-111-112
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